I. Elishakoff's Books

Convex Models of Uncertainty in Applied Mechanics

By: Y. Ben-Haim,I. Elishakoff

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Convex Models of Uncertainty in Applied Mechanics

By: Y. Ben-Haim,I. Elishakoff

Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design.This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling.This book is intended to inspire researchers in their goal towards further growth and development in this field.

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Page Count

240

Publisher

Elsevier

Published Date

ISBN 10

1483290972

ISBN 13

9781483290973

Probabilistic and Convex Modelling of Acoustically Excited Structures

By: I. Elishakoff,Y.K. Lin,L.P. Zhu

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Probabilistic and Convex Modelling of Acoustically Excited Structures

By: I. Elishakoff,Y.K. Lin,L.P. Zhu

This book summarises the analytical techniques for predicting the response of linear structures to noise excitations generated by large propulsion power plants. Emphasis is placed on beams and plates of both single-span and multi-span configurations, common in engineering structural systems. Since the natural frequencies and the associated normal modes play a central role in the random vibration analysis of a continuous dynamical system, rather detailed discussions are devoted to their determination. Material covered in the first chapter provides a useful reference for the subsequent discussion of multi-span structures. Also included in this volume is a hybrid probabilistic and convex-uncertainty modeling approach in which the upper and lower bounds of the cross-spectral densities of the acoustic excitation are obtained on the basis of measured data. The random vibration of a structure is treated, for the first time, as an "anti-optimization" problem of finding the least favourable value of the mean-square response.

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Page Count

305

Publisher

Elsevier

Published Date

ISBN 10

1483290352

ISBN 13

9781483290355

Stochastic Structural Dynamics 2

New Practical Applications Second International Conference on Stochastic Structural Dynamics May 9–11, 1900, Boca Raton, Florida, USA

By: I. Elishakoff,Y.K. Lin

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Stochastic Structural Dynamics 2

New Practical Applications Second International Conference on Stochastic Structural Dynamics May 9–11, 1900, Boca Raton, Florida, USA

By: I. Elishakoff,Y.K. Lin

This volume contains eighteen selected papers presented at the Second International Conference on Stochastic Structural Dynamics, which are related to new practical applications in the field. This and a companion volume, related to new theoretical developments, constitute the proceedings of the conference, and reflect the state of the art of the rapidly developing subject. The conference was held in Boca Raton, Florida during May 9-11, 1990 hosted by the Center for Applied Stochastic Research of Florida Atlantic University. A total of 20 technical sessions were organized, and attended by eighty participants from 12 countries. Special emphases of the conference were placed on two areas: applications to earthquake engineering and stochastic stability of nonlinear systems. Two sessions were dedicated to the memory of late Professor Frank Kozin, one of the founders and most active contributors to the stochastic stability theory. We are indebted to the National Center for Earthquake Engineering Research (NCEER) for financial support. Most credit belongs to each of the authors whose contributions were the very basis for the undoubted success of the conference. We are grateful to the reviewers who carefully refereed the contributions for these two volumes. Our special thanks are due to Mrs. Christine Mikulski, who carried out all the necessary secretarial tasks associated with the conference with dedication.

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Page Count

351

Publisher

Springer

Published Date

ISBN 10

3540541683

ISBN 13

9783540541684

Stochastic Structural Dynamics 1

New Theoretical Developments Second International Conference on Stochastic Structural Dynamics, May 9-11, 1990, Boca Raton, Florida, USA

By: Y.K. Lin,I. Elishakoff

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Stochastic Structural Dynamics 1

New Theoretical Developments Second International Conference on Stochastic Structural Dynamics, May 9-11, 1990, Boca Raton, Florida, USA

By: Y.K. Lin,I. Elishakoff

This volume contains eighteen selected papers presented at the Second International Conference on Stochastic Structural Dynamics, which are related to new theoretical developments in the field. This and a companion volume, related to new practical applications, constitute the proceedings of the conference, and reflect the state of the art of the rapidly developing subject. The conference was held in Boca Raton, Florida during May 9-11, 1990 hosted by the Center for Applied Stochastics Research of Florida Atlantic University. A total of 20 technical sessions were organized, and attended by eighty participants from 12 countries. Special emphases of the conference were placed on two areas: applications to earthquake engineering and stochastic stability of nonlinear systems. Two sessions were dedicated to the memory of late Professor Frank Kozin, one of the founders and most active contributors to the stochastic stability theory. We are indebted to the National Center for Earthquake Engineering Research (NCEER) for financial support. Most credit belongs to each of the authors whose contributions were the very basis for the undoubted success of the conference. We are grateful to the reviewers who carefully refereed the contributions for these two volumes. Our special thanks are due to Mrs. Christine Mikulski, who carried out all the necessary secretarial tasks associated with the conference with dedication.

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Page Count

356

Publisher

Springer

Published Date

ISBN 10

3540541675

ISBN 13

9783540541677

Book's by I. Elishakoff

Convex Models of Uncertainty in Applied Mechanics

Convex Models of Uncertainty in Applied Mechanics

Probabilistic and Convex Modelling of Acoustically Excited Structures

Probabilistic and Convex Modelling of Acoustically Excited Structures

Stochastic Structural Dynamics 2

Stochastic Structural Dynamics 2

Stochastic Structural Dynamics 1

Stochastic Structural Dynamics 1

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